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Finding the Fourth Proportional to 217,234.40, 325,851.60 and 209,976.80

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Solution

The fourth proportional to 217,234.40, 325,851.60 and 209,976.80 is: 314,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,234.40 : 325,851.60 = 209,976.80 : x
  2. Step 2: Convert to fraction form
    217,234.40/325,851.60 = 209,976.80/x
  3. Step 3: Cross multiply
    217,234.40x = 325,851.60 × 209,976.80
  4. Step 4: Simplify right side
    217,234.40x = 68,421,276,242.88
  5. Step 5: Solve for x
    x = 68,421,276,242.88/217,234.40
  6. Step 6: Final answer
    x = 314,965.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.